Numerical study of two-dimensional cylindrical underwater explosion by a modified method of characteristics

2017 ◽  
Vol 122 (10) ◽  
pp. 105903 ◽  
Author(s):  
Chenchen Yang ◽  
Xiaojie Li ◽  
Chengjiao Zhang
Keyword(s):  
Method Of Characteristics ◽  
Numerical Study ◽  
Underwater Explosion ◽  
Two Dimensional ◽  
Modified Method ◽  
Modified Method Of Characteristics

scholarly journals A modified method of characteristics and its application in forward and inversion simulations of underwater explosion

AIP Advances ◽  
2016 ◽  
Vol 6 (7) ◽  
pp. 075319 ◽  
Author(s):  
Chengjiao Zhang ◽  
Xiaojie Li ◽  
Chenchen Yang
Keyword(s):  
Method Of Characteristics ◽  
Underwater Explosion ◽  
Modified Method ◽  
Modified Method Of Characteristics ◽  
And Inversion

Numerical study of underwater shock wave by a modified method of characteristics

2014 ◽  
Vol 115 (10) ◽  
pp. 104905 ◽  
Author(s):  
Xiaojie Li ◽  
Chengjiao Zhang ◽  
Xiaohong Wang ◽  
Xiaofei Hu
Keyword(s):  
Shock Wave ◽  
Method Of Characteristics ◽  
Numerical Study ◽  
Underwater Shock Wave ◽  
Modified Method ◽  
Underwater Shock ◽  
Modified Method Of Characteristics

scholarly journals A Numerical Method for Compressible Model of Contamination from Nuclear Waste in Porous Media

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Zhifeng Wang
Keyword(s):  
Porous Media ◽  
Method Of Characteristics ◽  
Mixed Finite Element ◽  
Grid Method ◽  
Thermal Conditions ◽  
Mixed Finite Element Method ◽  
Fine Grid ◽  
Modified Method ◽  
Optimal Accuracy ◽  
Modified Method Of Characteristics

This paper studies and analyzes a model describing the flow of contaminated brines through the porous media under severe thermal conditions caused by the radioactive contaminants. The problem is approximated based on combining the mixed finite element method with the modified method of characteristics. In order to solve the resulting algebraic nonlinear equations efficiently, a two-grid method is presented and discussed in this paper. This approach includes a small nonlinear system on a coarse grid with size H and a linear system on a fine grid with size h . It follows from error estimates that asymptotically optimal accuracy can be obtained as long as the mesh sizes satisfy H = O h 1 / 3 .

scholarly journals Modified Method of Characteristics Combined with Finite Volume Element Methods for Incompressible Miscible Displacement Problems in Porous Media

2014 ◽  
Vol 2014 ◽  
pp. 1-16
Author(s):  
Sarvesh Kumar ◽  
Sangita Yadav
Keyword(s):  
Porous Media ◽  
Finite Volume ◽  
Method Of Characteristics ◽  
Miscible Displacement ◽  
Volume Element ◽  
Modified Method ◽  
Finite Volume Element ◽  
Velocity Equation ◽  
Modified Method Of Characteristics ◽  
Concentration Equation

The incompressible miscible displacement problem in porous media is modeled by a coupled system of two nonlinear partial differential equations, the pressure-velocity equation and the concentration equation. In this paper, we present a mixed finite volume element method (FVEM) for the approximation of the pressure-velocity equation. Since modified method of characteristics (MMOC) minimizes the grid orientation effect, for the approximation of the concentration equation, we apply a standard FVEM combined with MMOC. A priori error estimates in L∞(L2) norm are derived for velocity, pressure and concentration. Numerical results are presented to substantiate the validity of the theoretical results.

Sign in / Sign up

Export Citation Format

Share Document